Excitation band topology and edge matter waves in Bose-Einstein condensates in optical lattices

Shunsuke Furukawa, Masahito Ueda

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)


We show that Bose-Einstein condensates in optical lattices with broken time-reversal symmetry can support chiral edge modes originating from nontrivial bulk excitation band topology. To be specific, we analyze a Bose-Hubbard extension of the Haldane model, which can be realized with recently developed techniques of periodically modulating honeycomb optical lattices. The topological properties of Bloch bands known for the noninteracting case are shown to be smoothly carried over to Bogoliubov excitation bands for the interacting case. We show that the parameter ranges that display topological bands enlarge with increasing the Hubbard interaction or the particle density. In the presence of sharp boundaries, chiral edge modes appear in the gap between topological excitation bands. We demonstrate that by coherently transferring a portion of a condensate into an edge mode, a density wave is formed along the edge owing to an interference with the background condensate. This offers a unique method of detecting an edge mode through a macroscopic quantum phenomenon.

Original languageEnglish
Article number115014
JournalNew Journal of Physics
Issue number11
Publication statusPublished - 2015 Nov 27
Externally publishedYes


  • Bose-Einstein condensation
  • Bose-Hubbard model
  • band topology
  • chiral edge state

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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